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Acc6.3 Fractions and Decimals

When dividing, I know how the size of a divisor affects the quotient.

I can create a diagram or write an equation that represents division and multiplication questions.
I can decide whether a division question is asking “how many groups?” or “how many in each group?”.
I can explain two ways of interpreting a division expression such as $27 \div 3$.

I can use a tape diagram to represent equal-sized groups and find the number of groups.

I can tell when a question is asking for the number of groups and that number is less than 1.
I can use diagrams and multiplication and division equations to represent and answer “what fraction of a group?” questions.

I can tell when a question is asking for the amount in one group.
I can use diagrams and multiplication and division equations to represent and answer “how much in each group?” questions.

I can find the amount in one group in different real-world situations.

I can describe and apply a rule to divide numbers by any fraction.
I can divide a number by a non-unit fraction $\frac ab$ by reasoning with the numerator and denominator, which are whole numbers.

I can solve problems about ratios of fractions and decimals.

I can use division and multiplication to solve problems involving fractional lengths.

I can use division and multiplication to solve problems involving areas of rectangles with fractional side lengths.
I can use division and multiplication to solve problems involving areas of triangles with fractional bases and heights.

I can solve volume problems that involve fractions.
I know how to find the volume of a rectangular prism even when the edge lengths are not whole numbers.

I can use mathematical expressions to represent and solve word problems that involve fractions.

I can use decimals to make estimates and calculations about money.

I can use diagrams and vertical calculations to represent and reason about addition and subtraction of decimals.
I can use place value to explain addition and subtraction of decimals.
I know how to solve subtraction problems with decimals that require “unbundling” or “decomposing.”

I can solve problems that involve addition and subtraction of decimals.

I can use area diagrams to represent and reason about multiplication of decimals.
I can use place value and fractions to reason about multiplication of decimals.

I can use area diagrams and partial products to represent and find products of decimals.
I know how to use a product of whole numbers to find a product of decimals.

I can use long division to find a quotient of two whole numbers when the quotient is a whole number.

I can divide a decimal by a whole number.
I can use long division to find the quotient of two whole numbers when the quotient is not a whole number.

I can find the quotient of two decimals.
I know how multiplying both the dividend and the divisor by the same factor affects the quotient.

I can use addition, subtraction, multiplication, and division on decimals to solve problems.

I can use multiplication and division of fractions to reason about real-world volume problems.

I can use the four operations on decimals to find surface areas and reason about real-world problems.